@FOOTNOTE{Note1,key="Note1",note="Note that benchmarking of measurements and preparation is unavoidable."}
@FOOTNOTE{Note2,key="Note2",note="{The pulse was optimized using GRAPE, so the operation $\protect \mathcal  {U}_{c}$ is not really a sequence of 1- and 2-qubit gates. However the initial guess for the pulse was generated from the 1-and 2-qubit gate sequence.}"}
@CONTROL{REVTEX41Control}
@CONTROL{apsrev41Control,author="08",editor="1",pages="0",title="",year="1"}
